Solving Equations in Factored Form Critical Thinking Skill: Demonstrate Understanding of Concepts

Solving Equations in Factored Form standard form:  2x2 + 27x - 45 = 0 factored form:  (2x - 3)(x + 15) = 0 * polynomial written as a product of 2 or more linear factors

Factorization Choose the correct factorization for each. (Use FOIL) 1.) x2 10x + 16 2.) x2 x 20 A.) (x 4)(x 4) B.) (x 8)(x 2) A.) (x + 4)(x 5) B.) (x + 5)(x 4)

Zero Product Property: If a b = 0, then a = 0 or b = 0. ex 1: ( x - 4) (x + 1) = 0 ex 2: ( 3x - 2) (4x + 3)(x + 4) = 0 ex 3: ( x + 8)2 = 0

ex 4: Find the x-intercepts and vertex of the graph of: y = ( x + 2)(2x - 4) Steps: 1). Set equation = 0 2). Use the zero property 
to find solutions (x-intercepts) 3). Find the vertex:  a). x= average of x- intercepts  b). To find y, plug x in original equation  c) write as a point

ex 5: Find the x-intercepts and vertex of the graph of: y = ( x - 2)(x - 6)